{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "def draw_graph(G, pos_nodes, node_names={}, node_size=50, plot_weight=False):\n",
    "    nx.draw(G, pos_nodes, with_labels=False, node_size=node_size, edge_color='gray', arrowsize=30)\n",
    "    \n",
    "    pos_attrs = {}\n",
    "    for node, coords in pos_nodes.items():\n",
    "        pos_attrs[node] = (coords[0], coords[1] + 0.08)\n",
    "        \n",
    "    nx.draw_networkx_labels(G, pos_attrs, font_family='serif', font_size=20)\n",
    "    \n",
    "    \n",
    "    if plot_weight:\n",
    "        pos_attrs = {}\n",
    "        for node, coords in pos_nodes.items():\n",
    "            pos_attrs[node] = (coords[0], coords[1] + 0.08)\n",
    "        \n",
    "        nx.draw_networkx_labels(G, pos_attrs, font_family='serif', font_size=20)\n",
    "        edge_labels=dict([((a,b,),d[\"weight\"]) for a,b,d in G.edges(data=True)])\n",
    "        nx.draw_networkx_edge_labels(G, pos_nodes, edge_labels=edge_labels)\n",
    "    \n",
    "    plt.axis('off')\n",
    "    axis = plt.gca()\n",
    "    axis.set_xlim([1.2*x for x in axis.get_xlim()])\n",
    "    axis.set_ylim([1.2*y for y in axis.get_ylim()])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Node2Vec example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Computing transition probabilities: 100%|██████████| 18/18 [00:00<00:00, 1941.31it/s]\n",
      "Generating walks (CPU: 1): 100%|██████████| 10/10 [00:00<00:00, 13.25it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "from node2vec import Node2Vec\n",
    "\n",
    "G = nx.barbell_graph(m1=7, m2=4)\n",
    "draw_graph(G, nx.spring_layout(G))\n",
    "\n",
    "node2vec = Node2Vec(G, dimensions=2)\n",
    "model = node2vec.fit(window=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10,10))\n",
    "\n",
    "for x in G.nodes():\n",
    "    \n",
    "    v = model.wv.get_vector(str(x))\n",
    "    ax.scatter(v[0],v[1], s=1000)\n",
    "    ax.annotate(str(x), (v[0],v[1]), fontsize=12)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Edge2Vec example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from node2vec.edges import HadamardEmbedder\n",
    "edges_embs = HadamardEmbedder(keyed_vectors=model.wv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10,10))\n",
    "\n",
    "for x in G.edges():\n",
    "    \n",
    "    v = edges_embs[(str(x[0]), str(x[1]))]\n",
    "    ax.scatter(v[0],v[1], s=1000)\n",
    "    ax.annotate(str(x), (v[0],v[1]), fontsize=16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Graph2Vec Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "import matplotlib.pyplot as plt\n",
    "from karateclub import Graph2Vec\n",
    "\n",
    "n_graphs = 20\n",
    "\n",
    "def generate_radom():\n",
    "    n = random.randint(6, 20)\n",
    "    k = random.randint(5, n)\n",
    "    p = random.uniform(0, 1)\n",
    "    return nx.watts_strogatz_graph(n,k,p), [n,k,p]\n",
    "\n",
    "Gs = [generate_radom() for x in range(n_graphs)]\n",
    "\n",
    "model = Graph2Vec(dimensions=2, wl_iterations=10)\n",
    "model.fit([x[0] for x in Gs])\n",
    "embeddings = model.get_embedding()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10,10))\n",
    "\n",
    "for i,vec in enumerate(embeddings):\n",
    "    \n",
    "    ax.scatter(vec[0],vec[1], s=1000)\n",
    "    ax.annotate(str(i), (vec[0],vec[1]), fontsize=40)"
   ]
  }
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